To make brine, José buys 1 kg of salt and pays 12 pesos. If he buys 4 kg, they charge him 48 pesos, but for 100 pesos they sell him 9 kg. What is the constant of proportionality?



Answer to a math question To make brine, José buys 1 kg of salt and pays 12 pesos. If he buys 4 kg, they charge him 48 pesos, but for 100 pesos they sell him 9 kg. What is the constant of proportionality?

Expert avatar
46 Answers
Para encontrar la constante de proporcionalidad, podemos usar la relación entre la cantidad de sal comprada y el costo. La constante de proporcionalidad (k) está dada por la relación entre el costo (y) y la cantidad de sal (x), es decir, k = y/x. Dado: 1 kg de sal cuesta 12 pesos. 4 kg de sal cuestan 48 pesos. 9 kg de sal cuestan 100 pesos. Podemos usar la información proporcionada para encontrar la constante de proporcionalidad (k) estableciendo la ecuación de proporcionalidad: Por 1 kg: 12 = 1k Para 4 kg: 48 = 4k Para 9 kg: 100 = 9k Resolviendo para k en cada caso: Por 1 kg: k = 12/1 = 12 Para 4 kg: k = 48/4 = 12 Para 9 kg: k = 100/9 ≈ 11,11 La constante de proporcionalidad es de aproximadamente 12 pesos por kilogramo de sal.

Frequently asked questions (FAQs)
Question: Find the absolute maximum value of f(x) = x^2 - 4x + 3 on the closed interval [0, 5].
What is the probability of rolling a sum of 9 on two fair six-sided dice?
What is the measure of the angle bisector of a triangle if two of its angles are 60° and 80°?
New questions in Mathematics
Using a remarkable product you must factor the expression: f(x) =36x^2-324 and you are entitled to 5 steps
-442/c+5=26 what is c?
The sum of an infinite geometric series is 13,5 The sum of the same series, calculated from the third term is 1,5. Q. Calculate r if r>0.
Karina has a plot of 5,000 square meters in which she has decided that 60% of it will be used to plant vegetables. Of this part, 12% will be dedicated to planting lettuce. How much surface area of the plot will be used for cultivation?
The bus one way of the road which is 10km is heading with speed of 20km/h ,then the bus the other 10km is heading with speed of 60km/h. The middle speed of the road is it equal with arithmetic speed of the v1 and v2 ?
Answer the following questions regarding the expression below. 0.1 (a) Write the number as a fraction.
Suppose the Golf ball market is perfectly competitive and the functions are known: Q = 120 – 2Px – 2Py 0.2I Q = 2Px 40 Where I = Consumers' income ($200) and Py = Price of Good Y (40) Calculate the equilibrium elasticity: a) 1.6 b) -6 c) 6 d) 0.6
Find all real numbers x that satisfy the equation \sqrt{x^2-2}=\sqrt{3-x}
Convert 5/9 to a decimal
Take the limit of (sin(x-4))/(tan(x^2 - 16) as x approaches 4.
A car travels 211 miles on 15 gallons of gasoline. The best estimate of the car’s miles per gallon is?
Determine a general formula​ (or formulas) for the solution to the following equation.​ Then, determine the specific solutions​ (if any) on the interval [0,2π). cos30=0
Write the detailed definition of a supply chain/logistics related maximization problem with 8 variables and 6 constraints. Each constraint should have at least 6 variables. Each constraint should have At least 5 variables will have a value greater than zero in the resulting solution. Variables may have decimal values. Type of equations is less than equal. Numbers and types of variables and constraints are important and strict. Model the problem and verify that is feasible, bounded and have at least 5 variables are nonzero.
Nancy is a waitress at Seventh Heaven Hamburgers. She wants to estimate the average amount each table leaves for a tip. A random sample of 5 groups was taken and the amount they left for a tip (in dollars) is listed below: $11.00 $8.00 $6.00 $3.00 $7.00 a.) Find a 90% confidence interval for the average amount left by all groups. (*round to the nearest cent*) $ < μ < $ b.) If the sample size were larger, with everything else remaining the same, would the margin of Error increase or decrease? Decrease Increase c.) If the Confidence level were 95% instead of 90%, would the range (size) of the Confidence Interval be larger or smaller? Larger Smaller
Let N be the total number of ways to choose at least one ride, out of a total of 7 different ones, existing in an amusement park. Can it be said that N is a natural number equal to?
How many cards do you expect to pull from a poker deck until you get an ACE?
Convert (324)𝑓𝑖𝑣𝑒 into base-ten